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Finding the Third Proportional to 68,200,136 and 146,103,952

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Solution

The third proportional to 68,200,136 and 146,103,952 is: 312,995,927.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200,136 : 146,103,952 = 146,103,952 : x
  2. Step 2: Convert to fraction form
    68,200,136/146,103,952 = 146,103,952/x
  3. Step 3: Cross multiply
    68,200,136x = 146,103,952 × 146,103,952
  4. Step 4: Simplify right side
    68,200,136x = 21,346,364,790,018,304
  5. Step 5: Solve for x
    x = 21,346,364,790,018,304/68,200,136
  6. Step 6: Final answer
    x = 312,995,927.02

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.